A263846 Floor of cube root of n-th prime.

1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset

1,5

Links

Table of n, a(n) for n=1..113.

Formula

a(n) = A048766(A000040(n)). - Michel Marcus, Nov 10 2015

Mathematica

Floor[Surd[#, 3]]&/@Prime[Range[120]] (* Harvey P. Dale, Jun 19 2022 *)

Prog

(PARI) a(n) = sqrtnint(prime(n), 3); \\ Michel Marcus, Nov 10 2015

Crossrefs

Cf. A000006, A000196, A048766.

Sequence in context: A284248 A204166 A227581 * A350088 A178786 A350174

Adjacent sequences: A263843 A263844 A263845 * A263847 A263848 A263849

Keyword

nonn

Author

N. J. A. Sloane, Nov 09 2015

Status

approved